M64 sits in the constellation Coma Berenices, which is a bit low in the sky setting in the west at sunset, so is pretty much un-observable at the moment, and I think that remote robotic telescopes in the northern hemisphere won't allow you to observe that low.

Really it is a Spring constellation, though might come into view for imaging Feb onwards, depending on the telescope location.

If you are at school, you could try to get them to get you access to the Faulkes Telescopes, which have some nice big robotic telescopes.

There are a lot of galaxies available at the moment, so you might need to pick a different one depending on your project needs.